Palais-Smale Condition, Index Pairs and Critical Point Theory

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This paper is concerned with index pairs in the sense of Conley index theory for flows relative to pseudo-gradient vector fields for $C^1$-functions satisfying Palais-Smale condition. We prove a deformation theorem for such index pairs to obtain a Lusternik-Schnirelmann type result in Conley index theory.
11 pages, a noncompact version of the previous results

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Dynamical Systems, 37B30, 58E05

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http://salesiana.dossiersoluciones.com/handle/123456789/59486

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0006203
 http://arxiv.org/abs/math/0006203

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arXiv